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Number Series Worksheet for Maths Olympiad

Maths Olympiad topic 2: Number patterns: what comes next? · Set 782 · 40 questions
TalentJR

How to solve it (Look at the gaps): Look at two numbers side by side and find the jump: 5 → 10 is a jump of +5. Is the jump the same every time? Then add the same jump once more to the last number. Going down? Take away the same jump. Harder patterns: the jump can grow (+2, +3, +4 …) or the numbers can double (2, 4, 8, 16 …).

NameDateTime takenScore ___ / 40
  1. 1.What comes next? 3, 5, 8, 12, 17, ? (a) 22 (b) 23 (c) 25 (d) 24
  2. 2.What comes next? 8, 20, 32, 44, 56, ? (a) 80 (b) 68 (c) 67 (d) 69
  3. 3.What comes next? 26, 29, 32, 35, 38, ? (a) 41 (b) 40 (c) 44 (d) 42
  4. 4.What comes next? 2, 10, 8, 16, 14, 22, ? (a) 30 (b) 24 (c) 20 (d) 19
  5. 5.What comes next? 5, 10, 20, 40, 80, ? (a) 160 (b) 120 (c) 161 (d) 200
  6. 6.What comes next? 61, 52, 43, 34, 25, ? (a) 7 (b) 17 (c) 15 (d) 16
  7. 7.What comes next? 1, 7, 6, 12, 11, 17, ? (a) 15 (b) 16 (c) 23 (d) 18
  8. 8.What comes next? 4, 14, 24, 34, 44, ? (a) 64 (b) 55 (c) 54 (d) 53
  9. 9.What comes next? 9, 12, 10, 13, 11, 14, ? (a) 11 (b) 16 (c) 17 (d) 12
  10. 10.What comes next? 19, 16, 13, 10, 7, ? (a) 4 (b) 5 (c) 3 (d) 1
  11. 11.What comes next? 15, 20, 19, 24, 23, 28, ? (a) 33 (b) 29 (c) 26 (d) 27
  12. 12.What comes next? 4, 7, 5, 8, 6, 9, ? (a) 12 (b) 11 (c) 7 (d) 6
  13. 13.What comes next? 3, 14, 25, 36, 47, ? (a) 58 (b) 69 (c) 57 (d) 59
  14. 14.What comes next? 3, 10, 5, 12, 7, 14, ? (a) 19 (b) 21 (c) 8 (d) 9
  15. 15.What comes next? 3, 9, 27, 81, ? (a) 216 (b) 243 (c) 135 (d) 270
  16. 16.What comes next? 14, 18, 15, 19, 16, 20, ? (a) 23 (b) 24 (c) 16 (d) 17
  17. 17.What comes next? 36, 29, 22, 15, 8, ? (a) 1 (b) 2 (c) 3 (d) 4
  18. 18.What comes next? 42, 34, 26, 18, 10, ? (a) 1 (b) 2 (c) 3 (d) 4
  19. 19.What comes next? 3, 6, 12, 24, 48, ? (a) 72 (b) 96 (c) 97 (d) 120
  20. 20.What comes next? 7, 15, 9, 17, 11, 19, ? (a) 13 (b) 12 (c) 25 (d) 27
  21. 21.What comes next? 16, 26, 36, 46, 56, ? (a) 66 (b) 76 (c) 65 (d) 67
  22. 22.What comes next? 32, 29, 26, 23, 20, ? (a) 17 (b) 18 (c) 14 (d) 16
  23. 23.What comes next? 18, 25, 23, 30, 28, 35, ? (a) 33 (b) 42 (c) 37 (d) 32
  24. 24.What comes next? 8, 14, 20, 26, 32, ? (a) 44 (b) 37 (c) 39 (d) 38
  25. 25.What comes next? 1, 3, 9, 27, ? (a) 81 (b) 72 (c) 90 (d) 45
  26. 26.What comes next? 51, 44, 37, 30, 23, ? (a) 9 (b) 16 (c) 15 (d) 17
  27. 27.What comes next? 62, 55, 48, 41, 34, ? (a) 27 (b) 20 (c) 26 (d) 28
  28. 28.What comes next? 2, 3, 5, 8, 12, ? (a) 19 (b) 16 (c) 17 (d) 18
  29. 29.What comes next? 2, 7, 3, 8, 4, 9, ? (a) 4 (b) 5 (c) 14 (d) 13
  30. 30.What comes next? 16, 23, 21, 28, 26, 33, ? (a) 31 (b) 30 (c) 40 (d) 35
  31. 31.What comes next? 31, 27, 23, 19, 15, ? (a) 12 (b) 7 (c) 10 (d) 11
  32. 32.What comes next? 4, 8, 16, 32, 64, ? (a) 96 (b) 128 (c) 129 (d) 160
  33. 33.What comes next? 15, 17, 20, 24, 29, ? (a) 37 (b) 34 (c) 35 (d) 36
  34. 34.What comes next? 29, 27, 25, 23, 21, ? (a) 20 (b) 19 (c) 18 (d) 17
  35. 35.What comes next? 27, 31, 35, 39, 43, ? (a) 47 (b) 46 (c) 48 (d) 51
  36. 36.What comes next? 50, 44, 38, 32, 26, ? (a) 14 (b) 21 (c) 20 (d) 19
  37. 37.What comes next? 18, 21, 20, 23, 22, 25, ? (a) 23 (b) 24 (c) 26 (d) 28
  38. 38.What comes next? 7, 10, 8, 11, 9, 12, ? (a) 10 (b) 9 (c) 14 (d) 15
  39. 39.What comes next? 69, 61, 53, 45, 37, ? (a) 28 (b) 30 (c) 29 (d) 21
  40. 40.What comes next? 21, 26, 31, 36, 41, ? (a) 46 (b) 45 (c) 51 (d) 47

Answer key

  1. 23
  2. 68
  3. 41
  4. 20
  5. 160
  6. 16
  7. 16
  8. 54
  9. 12
  10. 4
  11. 27
  12. 7
  13. 58
  14. 9
  15. 243
  16. 17
  17. 1
  18. 2
  19. 96
  20. 13
  21. 66
  22. 17
  23. 33
  24. 38
  25. 81
  26. 16
  27. 27
  28. 17
  29. 5
  30. 31
  31. 11
  32. 128
  33. 35
  34. 19
  35. 47
  36. 20
  37. 24
  38. 10
  39. 29
  40. 46

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